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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

12 votes
4 answers
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Locally constant functions with compact support = smooth ?

Hello, I have a trivial question, but I hope that you don't mind helping. I often get confused with basic definitions. Let F be a p-adic field. Then (from what I understand) $C_c^{\infty}(F)$ is the …
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